In order to improve and optimize the traditional symmetrical design of progressive addition lenses， there were problems such as blind angle and distortion of the field of view. Two offset methods based on a rotation translation algorithm and an interpolation algorithm were proposed. Firstly， the binocular convergence phenomenon of the human eye was analyzed， and two asymmetric design methods were introduced： rotational translation offset and interpolation shift. Secondly， an offset function was set， and the interpolation function through the initial offset point was constructed by using Lagrange interpolation， Newton interpolation， and cubic spline interpolation. Thirdly， by setting two boundary conditions of two sets of offset point values and cubic spline interpolation values on two sets of meridians， three interpolation algorithms were analyzed and compared. Finally， the optical power and astigmatism distribution were given through simulation and actual processing. The experimental results show that the cubic spline interpolation in the interpolation algorithm is smoother and has no inflection point， the astigmatism gradient of the two asymmetric design methods in the near and far areas has achieved a smooth transition， the maximum astigmatism is reduced from 1.125 times the added luminosity to 0.875 times the added luminosity， and the offset angle is between 20° and 23°， which basically meets the characteristics of automatic convergence of the human eye and improves the problems of distortion and distortion of human vision.